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According to Yukawa’s theory of nuclear forces, the attractive force between a neutron and a proton has the potential V (r) = −Ke^(−αr)/r, K, α > 0 (a) Find the force, and compare it with an inverse square law of force. (b) Discuss the types of motion which can occur if a particle of mass m moves under such a force. (c) Discuss how the motions will be expected to differ from the corresponding types of motion for an inverse square law of force. (d) Find L and E for motion in a circle of radius a. (e) Find the period of circular motion and the period of small radial oscillations. (f) Show that the nearly circular orbits are almost closed when a is very small
According to Yukawa’s theory of nuclear forces, the attractive force between a neutron and a proton has the potential V (r) = −Ke^(−αr)/r, K, α > 0 (a) Find the force, and compare it with an inverse square law of force.

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Una distribución esférica de carga ⁇ = ⁇ 0[1- R 2 b 2 R2b2] existe en la región 0≤R≤b.Esta distribución de carga está rodeada concéntricamente por una capa conductora de radio interior Ri > b >by
Una distribución esférica de carga  ρ= ρ0[1-R2/b2] existe en la región 0≤R≤b.Esta distribución de carga está rodeada concéntricamente por una capa conductora de radio interior Ri> r >by

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